3 papers
math.MG2025
On the functional Minkowski problem
Tomer Falah, Liran Rotem
To every log-concave function one may associate a pair of measures which are the surface area measures of . These are a functional extension of the classical…
math.MG2024
Vertex generated polytopes
Shiri Artstein-Avidan, Tomer Falah, Boaz A. Slomka
In this paper we define and investigate a class of polytopes which we call "vertex generated" consisting of polytopes which are the average of their and dimensional faces.…
math.MG2023
Boundary restricted Brunn-Minkowski inequalities
Shiri Artstein-Avidan, Tomer Falah, Boaz A. Slomka
In this paper we explore questions regarding the Minkowski sum of the boundaries of convex sets. Motivated by a question suggested to us by V.~Milman regarding the volume of $\part…